state the law which defines the force and derive an expression for the same
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Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.
F∝Changeinmomentum/Time
F∝ mv−mu/t
F∝m( v−u )/t
⇒F∝ma
⇒F=kma(∵a= v−u /t )
⇒F=ma(∵k=constant=1)
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Newtons second law of motion
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